English

Chaotic translations on weighted Orlicz spaces

Functional Analysis 2018-09-12 v1

Abstract

Let GG be a locally compact group, ww be a weight on GG and Φ\Phi be a Young function. We give some characterizations for translation operators to be topologically transitive and chaotic on the weighted Orlicz space LwΦ(G)L_w^\Phi(G). In particular, transitivity is equivalent to the blow-up/collapse property in our case. Moreover, the dense set of periodic elements implies transitivity automatically.

Keywords

Cite

@article{arxiv.1809.03694,
  title  = {Chaotic translations on weighted Orlicz spaces},
  author = {Chung-Chuan Chen and Kui-Yo Chen and Serap Öztop and Seyyed Mohammad Tabatabaie},
  journal= {arXiv preprint arXiv:1809.03694},
  year   = {2018}
}